What is the selling price of a Television marked $600.00 if two discounts of 20 percent and 5 percent are given? (First figure 80% of 600. Then 95% of the result.)

(Am I on the right track?)
0.80*600= $480.00 then 0.95*480.=$456.
Marked price $600.00
fisrt disc of 20% = #480.00/ 5% disc.=$458